# Lieb-Robinson bounds for open quantum systems with long-ranged interactions

## TL;DR

This paper establishes Lieb-Robinson bounds for open quantum systems with long-range interactions, providing theoretical limits on information propagation in dissipative many-body quantum systems relevant to quantum simulators.

## Contribution

It introduces four types of Lieb-Robinson bounds applicable to open quantum systems with power-law decaying interactions, extending previous results to dissipative and long-range scenarios.

## Key findings

- Proves four types of Lieb-Robinson bounds for open systems
- Applicable to systems with power-law interactions and dissipation
- Provides foundational tools for analyzing quantum simulators

## Abstract

We state and prove four types of Lieb-Robinson bounds valid for many-body open quantum systems with power law decaying interactions undergoing out of equilibrium dynamics. We also provide an introductory and self-contained discussion of the setting and tools necessary to prove these results. The results found here apply to physical systems in which both long-ranged interactions and dissipation are present, as commonly encountered in certain quantum simulators, such as Rydberg systems or Coulomb crystals formed by ions.